Impact of the Dry Law on road traffic mortality in Brazilian states: an interrupted time series analysis

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https://doi.org/10.1590/1980-549720210045

 ORIGINAL ARTICLE / ARTIGO ORIGINAL

Impact of the Dry Law on road traffic
mortality in Brazilian states: an interrupted
time series analysis
Impacto da Lei Seca sobre a mortalidade no trânsito nas unidades
federativas do Brasil: uma análise de série temporal interrompida
Hélio Rubens de Carvalho NunesI                    , Cristiane Murta-NascimentoI                 , Maria Cristina
Pereira LimaII

    ABSTRACT: Objective: To assess the impact of 2008 Public Law number 11,705, also known as Dry Law
    (DL-08), on mortality from road traffic accidents (RTA), in each of the 27 Brazilian Federative Units (BFUs).
    Methods: Ecological study of interrupted time series with RTA data from 2002 to 2015, totalizing 168 months.
    Data were obtained from the Mortality Information System, the Brazilian Institute of Geography and Statistics,
    and from the National Traffic Department. Autoregressive integrated moving average (ARIMA) models were
    adjusted to assess the impact of DL-08 in each BFUs. Results: After the implementation of the DL-08, there
    was a significant decrease in mortality from RTA in the state of Santa Catarina (pre DL-08 = 2.60 ± 0.30 and
    post DL-08 = 2.32 ± 0.35; p < 0.001) and in the Federal District (pre DL-08 = 2.22 ± 0.40 and post DL-08 = 1.76
    ± 0.35; p = 0.002), a significant increase in mortality in the states of Acre, Amazonas, Rondônia, Maranhão,
    Piauí, Ceará, Rio Grande do Norte, Paraíba, Pernambuco, Alagoas, Sergipe and Mato Grosso, and a stability
    in the other states. The sensitivity analysis conducted over a shorter time series with 24 months showed results
    similar to those obtained with the 168-month series for most of the 27 BFUs. Conclusion: The DL-08 had a
    heterogeneous impact on mortality from traffic accidents on BFUs.
    Keywords: Interrupted time series analysis. Accidents, traffic. Time series studies. Ecological studies.

I
 Department of Public Health, Medical School of Botucatu, Universidade Estadual Paulista “Júlio de Mesquita Filho” – Botucatu
(SP), Brazil.
II
   Department of Neurology, Psychology and Psychiatry, Medical School of Botucatu, Universidade Estadual Paulista “Júlio de
Mesquita Filho” – Botucatu (SP), Brazil.
Corresponding author: Hélio Rubens de Carvalho Nunes. Faculdade de Medicina de Botucatu, Universidade Estadual Paulista
“Júlio de Mesquita Filho”. Av. Prof. Mário Rubens Guimarães Montenegro, s/n., Vila Paraíso, CEP: 18618-687, Botucatu, SP, Brazil.
E-mail: hrcn@outlook.com.br
Conflict of interests: nothing to declare – Financial support: none

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RESUMO: Objetivo: Analisar o impacto da Lei 11.705, conhecida por “Lei Seca” (LS-08), sobre a mortalidade por
acidentes de trânsito (AT) em cada uma das 27 unidades federativas (UF) do Brasil. Método: Estudo ecológico
de séries temporais interrompidas com dados de AT entre 2002 a 2015, totalizando 168 meses. Os dados foram
obtidos do Sistema de Informações sobre Mortalidade, do Instituto Brasileiro de Geografia e Estatística e do
Departamento Nacional de Trânsito. Foram ajustados modelos auto-regressivos integrados de médias móveis
(ARIMA) para analisar o impacto da LS-08 em cada UF. Resultados: Após a implantação da LS-08, a mortalidade
por AT diminuiu significativamente no estado de Santa Catarina (pré-LS-08 = 2,60 ± 0,30 e pós-LS-08 = 2,32
± 0,35; p < 0,001) e no Distrito Federal (pré-LS-08 = 2,22 ± 0,40 e pós-LS-08 = 1,76 ± 0,35; p = 0,002), aumentou
significativamente nos estados do Acre, Amazonas, Rondônia, Maranhão, Piauí, Ceará, Rio Grande do Norte,
Paraíba, Pernambuco, Alagoas, Sergipe e Mato Grosso e permaneceu estável nos demais. Análise de sensibilidade
conduzida sob uma série temporal mais curta, com 24 meses, apresentou resultados semelhantes aos obtidos
com a série de 168 meses para a maioria das 27 UF. Conclusão: A LS-08 exerceu impacto heterogêneo sobre a
mortalidade por AT entre as UF.
Palavras-chave: Análise de séries temporais interrompida. Acidentes de trânsito. Estudos de séries temporais.
Estudos ecológicos.

INTRODUCTION
    Traffic accidents (TA) are a relevant public health problem. They account for about 1.35 mil-
lion deaths per year worldwide, being the eighth leading cause of death in the general popu-
lation and the leading cause of death among people aged 5 to 29 years1. Furthermore, most
TAs occur in low- and middle-income countries, where their cost can reach 2.9% of the
Gross Domestic Product (GDP)2.
    In Brazil, data from the 2013 National Health Survey show that 3.1% of the Brazilian
population were involved in TAs with bodily injuries within a 12-month interval3, which
places TA as the second cause with the highest proportion of years of life lost due to exter-
nal causes in Brazil4.
    The effects of alcohol consumption on the occurrence of TAs are well described in
the literature. Alcohol is known to delay the reaction to a stimulus, alter alertness, visual
acuity, performance in tasks that involve divided attention and the ability to judge5-7.
Furthermore, studies show that alcohol intake is associated with a higher risk of injuries
and death from TA8,9. In Brazil, Damacena et al.10 showed that alcohol consumption is asso-
ciated with TA even when the effects of age, sex, education, skin color and marital status
are considered. Evidence of the harmful effects of alcohol presented in the world litera-
ture helps to understand why 45 countries currently have restrictive laws on alcohol and
driving1, including Brazil.
    In Brazil, Law No. 11,705, of June 19, 2008, popularly known as Dry Law (DL-08),
was one of the measures adopted by the Brazilian government to reduce morbidity and

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Impact of the Dry Law on road traffic mortality in Brazilian states: an interrupted time series analysis

mortality from TA. In force since June 20, 2008, the DL-08 penalizes the driver caught driv-
ing under the influence of alcohol or any psychoactive substance with the suspension of
the right to drive for 12 months across Brazilian territory, in addition to fines and admin-
istrative sanctions11.
    Several studies have investigated the impact of DL-08 on TA mortality in Brazil.
Malta et al.12 did this by comparing the overlapping confidence intervals of the standard-
ized rate of mortality from TA before and after DL-08, using aggregated data from one
year before and one year after the law implementation. The authors reported a signifi-
cant reduction (-7.4%) in the standardized rate of mortality from TA in Brazil and also
stated that this reduction occurred heterogeneously across states. Andreuccetti et al.13
showed that DL-08 was responsible for a significant reduction in the rate of mortality
from TA by 7.2% and 16.0% in the state of São Paulo and capital, respectively. Abreu
et al.14, in a descriptive study in the city of Rio de Janeiro, compared the months of July
2007 (pre-DL-08) and July 2008 (post-DL-08) and reported a reduction of 12.9% in mor-
tality from TA. In 2017, Klabunde et al.15 compared pre- and post-DL-08 TA mortality
for the state of Santa Catarina and reported a significant reduction in the overall rate.
More recently, Abreu et al.16, in a segmented regression with yearly data for the state of
Paraná between 1980 and 2014, observed a decrease in mortality among drivers in gen-
eral and pedestrians after DL-08.
    Despite the relevance of studies already carried out, the effect of DL-08 has not yet been
evaluated by models that simultaneously incorporate autocorrelation, seasonality, con-
founders and cointerventions in all states. Thus, TA mortality described by closer-to-real-
ity and regionalized models can provide more accurate estimates of the impact of DL-08,
contributing to traffic management in the country. Therefore, the aim of this study was to
assess the impact of DL-08 on mortality from TA in the 27 Brazilian Federation Units (UF),
between January 2002 and December 2015.

METHODS
    This study conducted an interrupted time-series analysis (ITSA) to assess mortality from
TA that occurred monthly in each of the 27 Brazilian FUs between 2002 and 2015, in which
168 months were included, being 78 months before DL-08 ( January 2002 to June 2008) and
90 after DL-08 ( July 2008 to December 2015).
    The studied outcome was the mortality coefficient due to TA observed monthly in
each FU. Deaths whose underlying causes were coded in categories V01 to V89 were used
for calculation, representing land transport accidents in Chapter XX (External Causes
of Morbidity and Mortality) of the tenth revision of the International Classification of
Diseases (ICD-10).
    Three sources of information were used to collect data: Mortality Information System17
for the monthly number of deaths from TA; Brazilian Institute of Geography and Statistics

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(IBGE)18 to collect the annual population projection; and the National Traffic Department
(DENATRAN)19 for information about the monthly vehicle fleet.
    The intervention studied was DL-08, which was established in Brazil on June 20, 2008.
Two co-interventions were also considered: the implementation of the Emergency and
Emergency Medical Service (SAMU), according to Ordinance 5,055 of April 27, 2004 (SAMU-
2004), and its reformulation according to Ordinance of the Ministry of Health 1,010 of May
21, 2012 (SAMU-2012).
    Regressors considered were:
    • seasonality, represented by 11 polychotomous variables, one for each month (from
       February to December) and assuming values of -1 for January (reference month), 1
       for the current month and 0 otherwise;
    • number of Saturdays and Sundays per month;
    • state fleet of motor vehicles.

    A model of the type Zt = μ + w0It + Xtβ + Nt was adjusted for each FU, with μ being a
constant, Zt the TA mortality coefficient in month t (t=1...168), w0 the impact of DL-08, It a
binary variable equal to 0 when t ≤ 78 and equal to 1 when t > 78, Xt is the regressor matrix
and Nt a residual series belonging to the autoregressive integrated moving average ARIMA
(p,d,q). To identify the residual Nt series and to verify the assumptions of homoscedasticity
and stationarity, the 78 pre-DL-08 observations were grouped into 13 clusters containing
six observations in temporal sequence.
    Homoscedasticity was verified with a scatter plot between means and standard devia-
tions of the clusters. In the presence of heteroscedasticity, a Box-Cox transformation was
applied to the data.
    Stationarity was verified by comparing the series:
    • of original (or transformed) data;
    • of the first difference;
    • of the second difference, in relation to the behavior displayed in the graphs of time
       series and the autocorrelation function (ACF), in which a decay of autocorrelations
       was observed.

    In case of doubt about which of the three series was stationary, the increased Duckey-
Fuller test was applied, and its regression equation was determined based on the number
of significantly non-null partial ACF.
    The orders p and q were determined by comparing models with different orders p and
q in relation to the value of the Akaike information criterion (AIC). The need for a con-
stant in the model was verified with the t test for H0: μ = 0. The adequacy of the model
was evaluated by graphic inspection of residuals using the ACF function, partial ACF func-
tion and residual histogram, and by the Ljung-Box test. Analyses were performed using the
TSA, lmtest and AID packages of the R software, version 3.4.2.

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RESULTS
    Table 1 shows the estimates of the impact of DL-08 on traffic mortality, in each FU,
based on the time series with 168 months, being 78 months before DL-08 and 90 months
after DL-08, adjusted by cointerventions and regressors. A significant decrease in mor-
tality from TA after DL-08 was observed only in the state of Santa Catarina (w^0 = -0.08;
p < 0.001) and in the Federal District (w^0 = -0.08; p = 0.002). There was also a signifi-
cant increase in mortality from TA after DL-08 in 12 Brazilian states: Acre (w^0 = 0.22;
p = 0.005), Amazonas (w^0 = 0.08; p = 0.030) and Rondônia (w^0 = 0.71 ; p < 0.001) in the
North region; Alagoas (w^0 = 0.31; p = 0.008), Ceará (w^0 = 0.35; p < 0.001), Maranhão
(w^0 = 0.22; p = 0.004), Paraíba (w^0 = 0.13; p < 0.001), Pernambuco (w^0 = 0.30; p < 0.001),
Piauí (w^0 = 0.34; p = 0.007), Rio Grande do Norte (w^0 = 0.25; p < 0.001) and Sergipe
(w^0 = 0.30; p < 0.001) in the Northeast region; and Mato Grosso (w^0 = 0.41; p < 0.001)
in the Mid-west region. In the other FUs, mortality from TA after DL-08 remained stable
when compared to the pre-DL-08 period. The quality of adjusted models was evaluated
using residuals and the Ljung-Box test, which did not indicate a failure in the white noise
assumption for the residuals in all FUs.
    Table 2 shows the sensitivity analysis performed to compare the results of the original
168-month time series with the results of the shorter 48-month time series, 24 months
pre-DL-08 and 24 months post-DL-08. Among the 27 UF, the impact of DL-08 (w^0) was
significant, having presented the same direction in both time series of six UF (Santa
Catarina, Federal District, Rondônia, Pernambuco, Sergipe and Mato Grosso), while
w^0 was not significant in both the time series of 10 UF (Amapá, Pará, Roraima, Bahia,
Mato Grosso do Sul, Espírito Santo, Minas Gerais, Rio de Janeiro, São Paulo and Rio
Grande do Sul), w^0 had the same direction with significant p value only in the longer
time series in five FUs (Acre, Ceará, Maranhão, Paraíba and Rio Grande do Norte), w^0
presented opposite directions and significant p value only in the longer time series in
three FUs (Amazonas, Alagoas and Piauí), w^0 had the same direction and significant p
value only in the shorter time series in two FUs (Goiás and Paraná) and, finally, w^0 pre-
sented opposite directions between series and significant p value only in the shorter
series in one FU (Tocantins).

DISCUSSION
   This study found that the DL-08 was not enough to reduce TA mortality in all FUs.
After DL-08 implementation, mortality from TA decreased significantly in two states
(Santa Catarina and Distrito Federal), decreased non-significantly in five states (Amapá,
Rio de Janeiro, São Paulo, Paraná and Rio Grande do Sul), increased non-significantly in
eight states (Roraima, Pará, Tocantins, Bahia, Goiás, Mato Grosso do Sul, Minas Gerais
and Espírito Santo) and increased with statistical significance in 12 states (Amazonas, Acre,

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Table 1. Estimates of the impact of the Dry Law (DL-08) on the monthly coefficient of mortality
from traffic accidents in each federative unit in Brazil.
                         Pre DL-08          Post DL-08                                  DL-08
 FU                                                                      Nt*                          p value&
                          (n = 78)             (n = 90)                                 w0# (p$)
 North

   Acre                  1.22 ± 0.45         1.50 ± 0.57              ARMA (3,2)     0.22 (0.005)      0.345

   Amapá                 1.56 ± 0.62         1.42 ± 0.62              ARMA (2,2)     -0.16 (0.068)     0.191

   Amazonas              0.91 ± 0.24         1.00 ± 0.23                MA (1)       0.08 (0.030)      0.231

   Pará                  1.10 ± 0.20         1.51 ± 0.31                AR (1)       0.07 (0.204)      0.195

   Rondônia              1.96 ± 0.47         2.75 ± 0.67              ARMA (1,1)     0.71 (< 0.001)    0.691

   Roraima               2.25 ± 0.99         2.53 ± 0.99               IMA (1,1)     0.08 (0.798)      0.677

   Tocantins             2.51 ± 0.62         3.00 ± 0.68              ARMA (3,3)     0.18 (0.315)      0.645

 Northeast

   Alagoas               1.61 ± 0.41         1.97 ± 0.43              ARMA (1,1)     0.31 (0.008)      0.771

   Bahia                 0.93 ± 0.19         1.37 ± 0.25               IMA (1,1)     0.01 (0.948)      0.216

   Ceará                 1.67 ± 0.23         2.08 ± 0.40              ARMA (1,1)     0.35 (< 0.001)    0.146

   Maranhão              1.09 ± 0.25         1.85 ± 0.39                MA (1)       0.22 (0.004)      0.817

   Paraíba               1.49 ± 0.32         1.95 ± 0.39                AR (1)       0.13 (< 0.001)    0.174

   Pernambuco            1.41 ± 0.18         1.73 ± 0.23              ARMA (2,3)     0.30 (< 0.001)    0.252

   Piauí                 1.80 ± 0.44         2.93 ± 0.59                AR (1)       0.34 (0.007)      0.467

   Rio Grande do Norte   1.20 ± 0.27         1.46 ± 0.28              MA (0,0,1)     0.25 (< 0.001)    0.994

   Sergipe               1.77 ± 0.48         2.26 ± 0.47              ARMA (2,2)     0.30 (< 0.001)    0.163

 Mid-West

   Distrito Federal      2.22 ± 0.40         1.76 ± 0.35                MA (1)       -0.08 (0.002)     0.326

   Goiás                 2.21 ± 0.33         2.52 ± 0.35              ARMA (1,1)     0.20 (0.085)      0.074

   Mato Grosso           2.59 ± 0.46         3.02 ± 0.48                MA (2)       0.41 (< 0.001)    0.760

   Mato Grosso do Sul    2.44 ± 0.42         2.59 ± 0.47              ARMA (1,1)     0.04 (0.741)      0.910

 Southeast

   Espírito Santo        2.28 ± 0.38         2.34 ± 0.38                AR (2)       0.003 (0.972)     0.410

   Minas Gerais          1.48 ± 0.22         1.75 ± 0.19               IMA (1,1)     0.01 (0.904)      0.503

   Rio de Janeiro        1.55 ± 0.18         1.38 ± 0.19             ARIMA (2,1,1)   -0.10 (0.341)     0.256

   São Paulo             1.46 ± 0.13         1.34 ± 0.15              ARMA (4,7)     -0.06 (0.627)     0.111
                                                                                                      Continue...

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Table 1. Continuation.
                                 Pre DL-08            Post DL-08                                      DL-08
 FU                                                                              Nt*                                    p value&
                                   (n = 78)             (n = 90)                                     w0# (p$)
 South

    Paraná                      2.43 ± 0.30           2.46 ± 0.33           IMA (0,1,2)          -0.01 (0.894)           0.119

    Rio Grande do Sul           1.58 ± 0.18           1.52 ± 0.19             IMA (1,1)          -0.18 (0.060)           0.295

    Santa Catarina              2.60 ± 0.30           2.32 ± 0.35           ARMA (2,2)          -0.08 (< 0.001)          0.921
*Residual series adjusted by models of the autoregressive integrated moving average (ARIMA); #estimate of the impact
of DL-08 seasonally adjusted, co-interventions SAMU-2004, SAMU-2012, state vehicle fleet and number of Saturdays
and Sundays in the month and autocorrelation; $p regarding the impact of DL-08 on mortality from TA; &p referring to
the Ljung-Box test on residuals of adjusted models.

Rondônia, Maranhão, Piauí, Ceará, Rio Grande do Norte, Paraíba, Pernambuco, Alagoas,
Sergipe and Mato Grosso).
    Although interventions that regulate and penalize drinking and driving are among the
most effective to reduce mortality from TA20, this study pointed out a significant decrease
in mortality from TA after DL-08 in only two of the 27 FUs.
    To explain this divergence, factors associated with TA deaths should be considered, par-
ticularly vehicle fleet, behavior of drivers, functioning of the national traffic system and
traffic engineering interventions, traffic municipalization process and adherence to health
policies and actions, which may have evolved differently between states.
    As for the vehicle fleet, the study showed a direct linear correlation between the
fleet growth rate and the magnitude of the DL-08 effect (w^ 0) between FUs (r = 0.55;
p = 0.003; Spearman’s correlation). Thus, FUs with high positive variations in the
number of automotive vehicles between 2002 and 2015 had higher values of w^ 0,
which indicates that the effect of DL-08 may have lost strength in FUs whose popu-
lation acquired more vehicles. The high interest in purchasing vehicles is described
in the literature. Carvalho and Pereira 21 showed that families spend, on average, five
times more on private transportation than on public transportation. Public transport
has been increasingly ignored and this has an impact on urban mobility. From 1992
to 2012, commuting time between residence and workplace increased on average by
6.4% in Brazil 22.
    With regard to behaviors associated with mortality from TA, such as those described by
Nascimento and Menandro23—alcohol and drug consumption, high-speed driving, disobedi-
ence to traffic rules and overestimation of driving skills—, the prevalence may have evolved
differently depending on state during the period of this study. The same may have occurred
with non-behavioral factors associated with mortality from TA, such as those mentioned
by Almeida et al.24 and Lima et al.25—age of the fleet, degree of urban development, traf-
fic engineering conditions and meteorological conditions—, which may also have evolved
differently between UFs.

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Table 2. Results of the sensitivity analysis assessing the impact of DL-08 based on the longest
original time series (168 months) and on a shorter time series (48 months).
                                                                     Impact of DL-08
                                            48-month series                            168-month series
                                              w0* (p value#)                             w0$ (p value&)
 ^ in the same direction and significant p value in both time series
 W0

   Santa Catarina                             -0.09 (< 0.001)                           -0.08 (< 0.001)
   Distrito Federal                            -0.07 (0.005)                             -0.08 (0.002)
   Rondônia                                    0.60 (0.001)                             0.71 (< 0.001)
   Pernambuco                                 0.19 (< 0.001)                            0.30 (< 0.001)
   Sergipe                                    0.28 (< 0.001)                            0.30 (< 0.001)
   Mato Grosso                                0.51 (< 0.001)                            0.41 (< 0.001)
 Stable TA mortality after DL-08 in both time series
   Amapá                                       0.03 (0.806)                              -0.16 (0.068)
   Pará                                        0.19 (0.202)                              0.07 (0.204)
   Roraima                                     -0.13 (0.400)                             0.08 (0.798)
   Bahia                                       0.002 (0.983)                             0.01 (0.948)
   Mato Grosso do Sul                          0.01 (0.892)                              0.04 (0.741)
   Espírito Santo                              -0.21 (0.222)                             0.003 (0.972)
   Minas Gerais                                0.02 (0.757)                              0.01 (0.904)
   Rio de Janeiro                              -0.14 (0.165)                             -0.10 (0.341)
   São Paulo                                   -0.06 (0.634)                             -0.06 (0.627)
   Rio Grande do Sul                           -0.22 (0.053)                             -0.18 (0.060)
 ^ in the same direction and significant p value only in the longer time series
 W0

   Acre                                        0.15 (0.123)                              0.22 (0.005)
   Ceará                                       0.08 (0.480)                             0.35 (< 0.001)
   Maranhão                                    0.22 (0.051)                              0.22 (0.004)
   Paraíba                                     0.06 (0.138)                             0.13 (< 0.001)
   Rio Grande do Norte                         0.10 (0.189)                             0.25 (< 0.001)
 ^ in opposite directions and significant p value only in the longer time series
 W0

   Amazonas                                    -0.09 (0.153)                             0.08 (0.030)
   Alagoas                                     -0.03 (0.780)                             0.31 (0.008)
   Piauí                                       -0.09 (0.631)                             0.34 (0.007)
                                                                                                          Continue...

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Table 2. Continuation.
                                                                            Impact of DL-08
                                                      48-month series                            168-month series
                                                        w0* (p value ) #
                                                                                                    w0$ (p value&)
 ^ in the same direction and significant p value only in the shorter time series
 W0

    Goiás                                               0.29 (
NUNES, H.R.C. ET AL.

   Finally, differences in road structures, in the operationalization of traffic engineering
and in the assertiveness of works over the years between FUs can also contribute to the
variability observed.
   The results of the sensitivity analysis obtained over the shorter time series of
24 months suggest that, in the states of Santa Catarina, Distrito Federal, Rondônia,
Pernambuco, Sergipe and Mato Grosso, there was a significant decrease or increase in
mortality from TA after DL-08 in the short term and extended to the long term. In the
states of Acre, Ceará, Maranhão, Paraíba and Rio Grande do Norte, a possible effect
of the time series size on the power of the tests in adjusted models must be consid-
ered. In the states of Amazonas, Alagoas and Piauí, the effect of DL-08 may have been
important only in the short term, with the historical trend of increased mortality from
TA prevailing, while in the state of Paraná, DL-08 may have lost efficiency over time.
However, the possibility that DL-08 has maintained its long-term efficiency in the state
of Paraná cannot be ruled out, but other factors associated with mortality from TA
have increased in the long-term.
   The possible biases of this study were discussed using the instrument Risk Of Bias In
Non-randomised Studies of Interventions (ROBINS-I)31.
   We believe that the risk of confounding bias is low because DL-08 is a federal law, which
submits any driver to its rules regardless of their predictors of mortality from TA.
   In this study, for selection bias, one would need:
   • an association between intra- and inter-regional migrations and DL-08, in
       such a way that the demographic composition would be different in pre- and
       post-DL-08 phases;
   • a change in demographic composition accompanied by a change in behavioral and
       non-behavioral factors associated with mortality from TA. As the probability of
       these two conditions having occurred is subjectively small, we believe that the risk
       of bias is low.

     As for the risk of bias in the classification of interventions, we believe that this risk is
null because there was no possibility that the inhabitants of all 27 states were classified as
not exposed to DL-08 when it was in force, nor they were considered exposed to DL-08
before its validity.
     In this study, with aggregated data from all FUs, the problem of missing data is discussed
in the context of international emigration. Data from the 2010 Demographic Census indi-
cate that the percentage of people who moved to other countries ranged from 0.06% in
Piauí to 0.57% in Goiás. Therefore, the percentage of people who leave Brazil is insufficient
to impact the estimates of monthly mortality coefficients for TA. Thus, we believe the risk
of bias due to lost data is low or null.
     In addition, this study has advantages over previous work on the impact of DL-08 12-
16
   . This is the first study to investigate the effect of DL-08 in all FUs using a statistical

                                                   10
                                  REV BRAS EPIDEMIOL 2021; 24: E210045
Impact of the Dry Law on road traffic mortality in Brazilian states: an interrupted time series analysis

intervention model that simultaneously considers ACF in monthly observations, sea-
sonality and the following confounding variables: number of Saturdays and Sundays
per month, evolution of vehicle fleet in each UF and co-interventions that represent
the implementation of SAMU, according to Ordinance 5,055 of April 27, 2004 (SAMU-
2004), and its reformulation in the Ministry of Health Ordinance 1,010 of 21 of May
2012 (SAMU-2012).
   Time limits for pre- and post-DL-08 periods were determined based on Penfold and
Zhang32, who recommend at least eight observations before and eight observations after
an intervention. However, considering that our model would include several regressors
and that the TA mortality time series showed great variability in some FUs, we decided to
expand our time limit from January 2002 to December 2015 (n = 168 months), expanding
the recommended by Penfold and Zhang32.
   However, this study has some limitations:
   • other co-interventions could have been considered, including the National Traffic
       Policy of September 2004 and its reformulation, approved in December 2014;
   • alternative transfer functions for the impact of DL-08 could have been tested;
   • evolution covariates of behavioral and non-behavioral factors associated with TA
       could not be considered due to lack of secondary data;
   • alcohol consumption may also have evolved differently between FUs.

    Unfortunately, data on the annual prevalence of alcohol consumption were not
found for all 27 FUs. One possibility would be to use data from the Surveillance of Risk
Factors and Protection for Chronic Diseases by Telephone Survey (Vigitel), which pro-
vides an estimate of proportion of the number of adults who abused alcohol. However,
the first edition of Vigitel is from 2006 (therefore, it does not cover the period of our
study—2002 to 2015). Also, these data represent the capitals of each UF only, not the
UF as a whole.
    In summary, after DL-08 there was a significant decrease in mortality from TA only in
the state of Santa Catarina and in the Federal District. This heterogeneity may stem from
factors associated with death from TA such as change in vehicle fleet, change in behavior of
vehicle drivers, functioning of the national traffic system, municipalization of traffic man-
agement and variable adherence to health policies and actions, which evolved unevenly
between the FUs.

ACKNOWLEDGEMENTS
    We would like to thank the employees of the Collective Health Research Unit (UPeSC)
of the Botucatu Medical School, UNESP.

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                                          REV BRAS EPIDEMIOL 2021; 24: E210045
NUNES, H.R.C. ET AL.

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    S0034-76122010000600006                                                  accuracy and integrity.

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